Question

Ha diameter of 9 inches?

Answer 1

Answer:

5).  Option C.  63 inches

6). Option C.  2032.71 m³

7). Option b.  145.23 ft³

8). Option a.  80

Step-by-step explanation:

To find the answers

Question 5

Here r = 9/2 = 4.5

Area of circle = πr²

 = 3.14 * 4.5²

 = 63.585 ≈ 63

Option c is the correct answer

Question 6

Here r = 6.8 m and h = 14 m

Volume of cylinder = πr²h

 = 3.14 * 6.8² * 14

 = 2032.71 m²  Option C

Question 7

Here r = 6.8 m and h = 14 m

Volume of cylinder = πr²h

 = 3.14 * 5² * 7.4

 = 145.23 feet²  Option b

Question 8

Volume of one brick = lbh

 = 11 * 5 * 3

Volume of crate = 55*20*12

number of briks = Volume of crate /Volume of one brick

 = (55*20*12)/(11 * 5 * 3)

= 80   Option a

Answer 2

Question 1:

For this case we have that by definition, the area of a circle is given by:

$A = \pi * r ^ 2$

Where:

r: It is the radius of the circle.

They tell us that the diameter is 9 inches, then the radius is 4.5 inches. substituting we have:

$A = \pi * (4.5) ^ 2\\A = \pi * 20.25\\A = 63.59$

Thus, the area of the circle is$63.59 \ in ^ 2$

ANswer:

Option C

QUestion 2:

For this case we have that by definition, the volume of a cylinder is given by:$V = \pi * r ^ 2 * h$

Where:

r: It's the radio

h: It's the height

According to the data we have to:

$r = 6.8 \ meters\\h = 14 \ meters$

Substituting in the formula:

$V = \pi * (6.8) ^ 2 * 14\\V = \pi * 46.24 * 14\\V = 2032.71$

Finally, the volume of the cylinder is $2032.71 \ m ^ 3$

Answer:

Option C

Question 3:

For this case we have that by definition, the volume of a cylinder is given by:

$V = \pi * r ^ 2 * h$

Where:

r: It's the radio

h: It's the height

According to the data we have to:

$r = \frac {5} {2} = 2.5 \ feet\\h = 7.4 \ feet$

Substituting in the formula:

$V = \pi * (2.5) ^ 2 * 7.4\\V = \pi * 6.25 * 7.4\\V = 145.23$

Finally, the volume of the cylinder is $145.23 \ ft ^ 3$

Answer:

Option B

Question 4:

For this case we have that the volume of the bricks comes given by:

$V = 11 * 5 * 3\\V = 165$

The volume of each brick is $165 \ in ^ 3.$

On the other hand, we have that the volume of the crate is also obtained by multiplying its three dimensions, that is:

$V = 55 * 20 * 12V = 13,200$

Thus, the volume of the crate is $13,200 \ in ^ 3$

We divide the volume of the crate between the volume of the brick to know the quantity:

$\frac {13,200} {165} = 80$

Thus, 80 bricks fit.

Answer:

Option A